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Finding the Fourth Proportional to 7,706.39, 11,552.65 and 2,772.57

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Solution

The fourth proportional to 7,706.39, 11,552.65 and 2,772.57 is: 4,156.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,706.39 : 11,552.65 = 2,772.57 : x
  2. Step 2: Convert to fraction form
    7,706.39/11,552.65 = 2,772.57/x
  3. Step 3: Cross multiply
    7,706.39x = 11,552.65 × 2,772.57
  4. Step 4: Simplify right side
    7,706.39x = 32,030,459.18
  5. Step 5: Solve for x
    x = 32,030,459.18/7,706.39
  6. Step 6: Final answer
    x = 4,156.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.